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dc.contributor.authorSantos, Lea F.
dc.contributor.authorVillaseñor, David
dc.contributor.authorPilatowsky-Cameo, Saúl
dc.contributor.authorBastarrachea-Magnani, Miguel A.
dc.contributor.authorLerma, Sergio
dc.contributor.authorHirsch, Jorge G.
dc.identifier.citationSantos, Lea F. David Villaseñor, Saúl Pilatowsky-Cameo, Miguel A Bastarrachea-Magnani, Sergio Lerma, Jorge G Hirsch. (2020). Quantum vs classical dynamics in a spin-boson system: manifestations of spectral correlations and scarring. New Journal of Physics 22: 063036.en_US
dc.descriptionResearch article, peer-reviewed. Open Access.en_US
dc.description.abstractWe compare the entire classical and quantum evolutions of the Dicke model in its regular and chaotic domains. This is a paradigmatic interacting spin-boson model of great experimental interest. By studying the classical and quantum survival probabilities of initial coherent states, we identify features of the long-time dynamics that are purely quantum and discuss their impact on the equilibration times. We show that the ratio between the quantum and classical asymptotic values of the survival probability serves as a metric to determine the proximity to a separatrix in the regular regime and to distinguish between two manifestations of quantum chaos: scarring and ergodicity. In the case of maximal quantum ergodicity, our results are analytical and show that quantum equilibration takes longer than classical equilibrationen_US
dc.description.sponsorshipACKNOWLEDGMENTS: We acknowledge the support of the Computation Center—ICN, in particular to Enrique Palacios, Luciano Díaz, and Eduardo Murrieta, and valuable conversations with Jonathan Torres and Jorge Chávez-Carlos. We acknowledge financial support from Mexican CONACyT project CB2015-01/255702, DGAPA-UNAM projects IN109417 and IN104020. LFS is supported by the NSF Grant No. DMR-1936006. LFS and JGH thank the hospitality of the Aspen Center for Physics and the Simons Center for Geometry and Physics at Stony Brook University, where some of the research for this paper was performed.en_US
dc.publisherIOP Publishing ; Deutsche Physikalische Gesellschaften_US
dc.relation.ispartofseriesNew Journal of Physics;22
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectDicke modelen_US
dc.subjectclassical chaosen_US
dc.subjectquantum chaosen_US
dc.subjectcorrelation holeen_US
dc.titleQuantum vs classical dynamics in a spin-boson system: manifestations of spectral correlations and scarring.en_US

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